The buckling of a swollen thin gel layer bound to a compliant substrate

Journal of Applied Mechanics, Transactions ASME

Volumn 75, Issue 5, 2008, Pages 0510021-0510025

  Sultan, Eric ^a   Boudaoud, Arezki ^b  

^a UNIVERSITEIT LEIDEN   (Netherlands)

^b CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

COLLOIDS; GELS;

BI-LAYERED STRUCTURE; POST-BUCKLING; SIMPLIFIED MODELS; THIN GEL LAYER; THIN LAYERING; WINKLER FOUNDATIONS;

GELATION;

EID: 52649091857     PISSN: 00218936     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2936922     Document Type: Conference Paper

References (24)

1. Allen, H. G., 1969. Analysis and Design of Structural Sandwich Panels, Pergamon, New York.
2. Genzer, J., and Groenewold. J., 2006. "Soft Matter With Hard Skin: From Skin Wrinkles to Templating and Material Characterization," Soft Mater., 2, pp. 310-323.
3. Bowden, N., Brittain, S., Evans, A. G., Hutchinson, J. W., and Whitesides, G. M., 1998, "Spontaneous Formation of Ordered Structures in Thin Films of Metals Supported on an Elastomeric Polymer," Nature (London), 393, pp. 146-149.
4. Efimenko, K., Rackaitis, M., Manias, E., Mahadevan, L., and Vaziri, A., 2005. "Nested Self-Similar Wrinkling Patterns in Skins," Nat. Mater., 4(4), pp. 293-297.
5. Chen, X., and Hutchinson. J. W., 2004, "Herringbone Buckling Patterns of Compressed Thin Films on Compliant Substrates." ASME J. Appl. Mech., 71, pp. 597-603.
6. Mahadevan, L., and Rica, S., 2005, "Self-Organized Origami," Science, 307, pp. 1740.
7. Huang, Z. Y., Hong, W., and Suo, Z., 2005, "Nonlinear Analyses of Wrinkles in a Film Bonded to a Compliant Substrate." J. Mech. Phys. Solids, 53, pp. 2101-2118.
8. Skalak, R., Zargaryan, S., Jain, R. K., Netti, P. A., and Hoger, A., 1996, "Compatibility and the Genesis of Residual Stress by Volumetric Growth." J. Math. Biol., 34, pp. 889-914.
9. Ben Amar, M., and Goriely, A., 2005, "Growth and Instability in Elastic Tissues," J. Mech. Phys. Solids, 53, pp. 2284-2319.
10. Richman, D. P., Stewart, R. M., Hutchinson, J. W., and Caviness, V. S., Jr., 1975. "Mechanical Model of Brain Convolutional Development," Science, 189, pp. 18-21.
11. Toro, R., and Burnod. Y., 2005. "A Morphogenctic Model for the Development of Cortical Convolutions," Cereb. Cortex, 15, pp. 1900-1913.
12. Steele, C. R., 2000, "Shell Stability Related to Pattern Formation in Plants." ASME J. Appl. Mech., 67, pp. 237-247.
13. Kücken, M., and Newell, A. C., 2004, "A Model for Fingerprint Formation," Europhys. Lett., 68(1). pp. 141-146.
14. Tanaka, T., Fillmore, D., Sun, S.-T., Nishio. I., Swislow, G., and Shah, A., 1980, "Phase Transitions in Ionic Gels," Phys. Rev. Lett., 45, pp. 1636-1639.
15. Boudaoud, A., and Chaïeb, S., 2003. "Mechanical Phase Diagram of Shrinking Cylindrical Gels," Phys. Rev. E, 68, p. 021801.
16. Tanaka, T., Sun, S.-T., Hirokawa, Y., Katayama. S., Kucera, J., Hirose, Y., and Amiya, T., 1987, "Mechanical Instability of Gels at the Phase Transition." Nature (London), 325, pp. 796-798.
17. Tanaka, H., and Sigehuzi, T., 1994, "Surface-Pattern Evolution in a Swelling Gel Under a Geometrical Constraint: Direct Observation of Fold Structure and its Coarsening Dynamics," Phys. Rev. E, 49, pp. R39-R42.
18. Mora, T., and Boudaoud, A., 2006. "Buckling of Swelling Gels." Eur. Phys. J. E, 20, pp. 119-124.
19. Sharon, E., Roman, B., Marder, M., Shin, G.-S., and Swinney, H. L., 2002. "Buckling Cascades in Free Sheets," Nature (London), 419, p. 579.
20. Audoly, B., and Boudaoud, A., 2003, "Self-Similar Structures Near Boundaries in Strained Systems," Phys. Rev. Lett., 91, p. 086105.
21. Klein. Y., Efrati, E., and Sharon, E., 2007, "Shaping of Elastic Sheets by Prescription of Non-Euclidean Metrics," Science, 315, pp. 1116-1120.
22. Basu, S. K., McCormick, A. V., and Scriven, L. E., 2006. "Stress Generation by Solvent Absorption and Wrinkling of a Cross-Linked Coating Atop a Viscous or Elastic Base," Langmuir, 22, pp. 5916-5924.
23. Landau, L., and Lifchitz, E., 1990, "Théorie de I'élasticité," Physique théorique (Tome 7). (Éditions Mir), Mir, Moscow.
24. Press, W. H., Teukolsky, S. A., Vetterling, W. T., and Flannery, B. P., 2002. Numerical Recipes in C, Cambridge University Press, Cambridge, England.